Z9–I–1

In all nine fields of given shape to be filled natural numbers so that:

• each of the numbers 2, 4, 6, and 8 is used at least once,
• four of the inner square boxes containing the products of the numbers of adjacent cells of the outer square,
• in the circle is the sum of the numbers of adjacent cells of the inner square.

Find out what the smallest and the largest number that can be written in a circle.

Correct answer:

a =  0
b =  0

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